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Finding the Fourth Proportional to 9,820.95, 13,549.41 and 5,841.96

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Solution

The fourth proportional to 9,820.95, 13,549.41 and 5,841.96 is: 8,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.95 : 13,549.41 = 5,841.96 : x
  2. Step 2: Convert to fraction form
    9,820.95/13,549.41 = 5,841.96/x
  3. Step 3: Cross multiply
    9,820.95x = 13,549.41 × 5,841.96
  4. Step 4: Simplify right side
    9,820.95x = 79,155,111.24
  5. Step 5: Solve for x
    x = 79,155,111.24/9,820.95
  6. Step 6: Final answer
    x = 8,059.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.